| Abstract: |
| Existence and uniqueness results are established for solutions to homogeneous Dirichlet problems concerning second-order elliptic equations, in divergence form, with principal part a Leray-Lions type operator and a first order term which grows as a $q-$power of the gradient. The case of elliptic operators having a zero order term is also considered.
Under suitable summability assumptions and smallness on the datum and on the coefficients of the elliptic operators, existence and uniqueness results are presented depending on several ranges of values of the power $q$ of the gradient term. The talk is based on joint papers with A.Alvino and V.Ferone. |
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